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Finding the Fourth Proportional to 506,848.16, 699,446.40 and 280,506.08

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Solution

The fourth proportional to 506,848.16, 699,446.40 and 280,506.08 is: 387,096.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,848.16 : 699,446.40 = 280,506.08 : x
  2. Step 2: Convert to fraction form
    506,848.16/699,446.40 = 280,506.08/x
  3. Step 3: Cross multiply
    506,848.16x = 699,446.40 × 280,506.08
  4. Step 4: Simplify right side
    506,848.16x = 196,198,967,834.11
  5. Step 5: Solve for x
    x = 196,198,967,834.11/506,848.16
  6. Step 6: Final answer
    x = 387,096.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.